[share_ebook] Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics


Author: Caterina Consani, Matilde Marcolli

Date: 01704

ISBN: 3834801704

Pages: 380

Language: English

Publisher: Vieweg+Teubner Verlag

Category: Study

Tag: Mathematics


Posted on 2011-09-27, by LionFar.

Description


Title:Noncommutative Geometry and Number Theory: Where Arithmetic meets Geometry and Physics
Author:Caterina Consani, Matilde Marcolli
Publisher:Vieweg+Teubner Verlag
ISBN:3834801704
ISBN13:
Date01704
Pages:380
Language:English
Format: PDF
Size:5.08 MB

Description:In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. This volume collects and presents up-to-date research topics in arithmetic and noncommutative geometry and ideas from physics that point to possible new connections between the fields of number theory, algebraic geometry and noncommutative geometry. The articles collected in this volume present new noncommutative geometry perspectives on classical topics of number theory and arithmetic such as modular forms, class field theory, the theory of reductive p-adic groups, Shimura varieties, the local L-factors of arithmetic varieties. They also show how arithmetic appears naturally in noncommutative geometry and in physics, in the residues of Feynman graphs, in the properties of noncommutative tori, and in the quantum Hall effect.


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